摘要
为了提高桥梁结构状态评估中结构参数识别的精度和稳定性,克服Gauss-Newton法不能有效地处理奇异和非正定矩阵以及对初始点要求苛刻的缺点,利用Levenberg-Marquardt法,通过在Gauss-Newton法的迭代矩阵中添加阻尼项,对迭代矩阵加以修正,通过Matlab自编程序实现对实际结构参数的优化求解。对一连续梁的数值模拟计算表明,在Gauss-Newton法迭代发散的情况下,Levenberg-Marquardt法的识别结果相对误差在10%左右,Levenberg-Marquardt法基本能实现对真实结构参数的识别,为结构进一步的状态评估提供了结构模型最基本的量化信息。
In order to improve the precision and stability of structural parameter identification in the procedure of bridge assessment, a heuristic method of using Levenberg-Marquardt algorithm to meliorate the singular iterative matrix of Gauss-Newton was put forward to overcome the harsh terms of initial value in Gauss-Newton algorithm, the numerical simulative test of a continuous beam with three spans was carried out. Simulation results show that the relative-effective error of bridge structure parameter identification is less than 10%, the application of Levenberg-Marquardt algorithm is feasible, its quantitative message can be put forward for bridge structure condition assessment. 1 tab, 1 fig, 8 refs.
出处
《交通运输工程学报》
EI
CSCD
北大核心
2005年第3期56-59,共4页
Journal of Traffic and Transportation Engineering